civilizations into medieval times. In modern mathematical notation, Egyptian fractions have been superseded by vulgar fraction s and decimal notation. However, Egyptian fractions continue to be an object ... texts in which Egyptian fractions appear were the Egyptian Mathematical Leather Roll , the Moscow Mathematical ... text, the Rhind Mathematical Papyrus , introduced improved ways of writing Egyptian fractions. The Rhind ... To write the unit fractions used in their Egyptian fraction notation, in hieroglyph script, the Egyptians ... number after subtracting one of these special fractions was written using as a sum of distinct unit fractions according to the usual Egyptian fraction notation. align center cellpadding 1em hiero ... of fractions of the form 1 2 sup k sup for k 1, 2, ..., 6 and sums of these numbers, which are necessarily dyadic rational dyadic rational numbers . These Horus Eye fractions were used in the Middle Kingdom in conjunction with the later notation for Egyptian fractions to subdivide a hekat volume unit ... in Eye of Horus fractions of a hekat, the remainder was written using the usual Egyptian fraction ... the methods the Egyptians used in calculating with Egyptian fractions. In particular, study in this area ... and Greedy algorithm for Egyptian fractions . Egyptian fraction notation continued to be used in Greek ... of Egyptian fractions in the Middle Ages, and introduces topics that continue to be important in modern ... decimal and vulgar fraction notation, which eventually replaced Egyptian fractions. Fibonacci himself used a complex notation for fractions involving a combination of a mixed radix notation with sums of fractions. Many of the calculations throughout Fibonacci s book involve numbers represented as Egyptian fractions, and one section of this book harvnb Sigler 2002 , chapter II.7 provides a list of methods for conversion of vulgar fractions to Egyptian fractions. If the number is not already ... for Egyptian fractions greedy algorithm for computing Egyptian fractions, in which one repeatedly chooses ... more details
also Greatest common divisor Partial fraction expansion &mdash reverses the process of adding fractions ... Elementary arithmetic Category Fractions de Hauptnenner es M nimo com n denominador is Minnsti samnefnari ... more details
Unreferenced date March 2009 Astrodynamics navbar In aerospace engineering , payload fraction is a common term used to characterize the efficiency of a particular design. Payload fraction is calculated by dividing the weight of the payload by the weight of the otherwise empty aircraft when fully fueled. Fuel represents a considerable amount of the overall takeoff weight, and for shorter trips it is quite common to load less fuel in order to carry a lighter load. For this reason the useful load fraction calculates a similar number, but based on the combined weight of the payload and fuel together. Propeller driven airliner s had useful load fractions on the order of 25 35 . Modern jet engine jet powered airliners have considerably higher useful load fractions, on the order of 45 55 . For spacecraft the payload fraction is often less than 1 , while the useful load fraction is perhaps 90 . In this case the useful load fraction is not a useful term, because spacecraft typically can t reach orbit without a full fuel load. For this reason the related term mass fraction , is used instead. However, if the latter is large, the payload can only be small. Examples Mass fraction table Note the above table may incorrectly include the mass of the empty upper stage or stages. References reflist DEFAULTSORT Payload Fraction Category Astrodynamics Category Aerospace engineering ... more details
Unreferenced date February 2008 The Schoolmaster s Assistant, Being a Compendium of Arithmetic both Practical and Theoretical was an early and popular English arithmetic textbook, written by Thomas Dilworth and published in United States of America America in the eighteenth century. The book reached from the introductory topics to the advanced in five sections Section I, Whole Numbers included the basis of the four operations and proceeded to topics on interest, rebates, partnership, weights and measures , the double rule of three, alligation , mediation and permutations . Section II dealt with common fractions . Section III dealt with decimal fraction operations and included roots up to the fourth power, and work on Annuity finance theory annuities and pensions . Section IV was a collection of 104 problems to be solved. As was common in many older texts, the questions were sometimes stated in rhyme. Lessons for students were for memorization and recitation. Section V was on Duodecimals, working with fractions in which the only denominators were twelfths. These types of problems continue in textbooks and appear in the 1870 edition of White s Complete Arithmetic in the appendix. The definition states A Duodecimal is a denominate number in which twelve units of any denomination make a unit of the next higher denomination. Duodecimals are used by artificers in measuring surfaces and solids. Category Mathematics books Schoolmaster s Assistant, Being a Compendium of Arithmetic both Practical and Theoretical, A ... more details
In mathematics , in the field of algebraic geometry , a normal scheme is a scheme mathematics scheme X for which every stalk local ring O sub X,x sub of its structure sheaf O sub X sub is an integrally closed domain integrally closed local ring that is, each stalk is an integral domain such that its integral closure in its field of fractions is equal to itself. Any reduced scheme has a normalization , whose construction we first give for irreducible reduced schemes. An irreducible and reduced scheme math X math has the property that every affine chart is a integral domain domain . Choose an affine cover corresponding to rings math A i math . Compute the integral closure of each of these in its fraction field, denote them by math overline A i math . It is not hard to see that one can construct a new scheme math overline X math by gluing together the affine schemes Spec math overline A i math . If the initial scheme is not irreducible, one can define the normalization as the disjoint union of the normalizations of the irreducible components. An alternate, equivalent, definition uses integral closures in rings of fractions where any nonzero divisor is allowed in the denominator. See also Integral closure Semi normal scheme References Hartshorne AG , p. 91 DEFAULTSORT Normal Scheme Category Scheme theory algebra stub ... more details
Confusing date April 2007 Mergeto Division mathematics date February 2010 Quotition is an arithmetic concept that concerns how we look at fractions and division. The key to quotition problem statements is the phrase how many are in. Division mathematics Division involves thinking about a whole in terms of its parts. One frequent division notion, a natural number of equal parts, is known as partition to educators. The basic concept behind partition is sharing . In sharing a whole entity becomes an integer number of equal parts. What quotition concerns is explained by removing the word integer in the last sentence. Allow number to be any fraction and you have quotition instead of partition. A University of Melbourne web page http extranet.edfac.unimelb.edu.au DSME arithmetic FTACDROM1.1 fractions operations divfract.shtml shows what to do when the fraction is a ratio of integers or Rational number rational . Etymology From a dictionary definition http dictionary.reference.com browse quotidian of a related word in physics, quotidian , the phrase how many is from the word s origins Middle English cotidien, from Old French, from Latin qutdinus, from qutdi, each day quot, how many, as many as . See also List of partition topics Category Mathematical terminology ... more details
Unreferenced date March 2010 Context date March 2010 The continuous knapsack problem , also known as the fractional knapsack problem , is similar to the classic knapsack problem but in this problem fractions of an item can be put into the knapsack. The problem is as following Given a knapsack with capacity R and materials of different values per unit volume, find the most valuable combination of materials which fit in a knapsack of fixed volume R. We are allowed to take fractions of materials. A greedy algorithm can find the optimum solution to the continuous knapsack problem . This problem can arise in situation that liquid material is used. Also in Lagrangian relaxation methods for facility location problems the problem will be reduced to instances of continuous knapsack problem. Unlike knapsack problem , continuous knapsack problem is easy to solve and is sometimes used as a simplified model for the classic knapsack problem . Solution technique Start with the material that is most valuable per unit volume and take as much as possible until you run out. If there is still space available take the second most valuable per unit volume item and take as much as possible. Continue this procedure until you run out of room in the knapsack. This technique was also proposed by George Dantzig as a greedy algorithm to the classic knapsack problem . Category Combinatorial optimization ... more details
Orphan date August 2009 In mathematics , a Goldman domain A is an integral domain whose field of fractions is a finitely generated A algebra. ref name Ref Goldman domains ideals are called G domains ideals in Kaplansky 1974 . ref They are named after Oscar Goldman mathematician Oscar Goldman . An overring i.e., an intermediate ring lying between the ring and its field of fractions of a Goldman domain is again a Goldman domain. There exists a Goldman domain where all nonzero prime ideals are maximal although there are infinitely many prime ideals. ref name Ref a Kaplansky, pp. 13 ref An ideal ring theory ideal I in a commutative ring A is called a Goldman ideal if the quotient ring quotient A I is a Goldman domain. A Goldman ideal is thus prime ideal prime , but not necessarily maximal ideal maximal . In fact, a commutative ring is a Jacobson ring if and only if every Goldman ideal in it is maximal. The notion of a Goldman ideal can be used to give a slightly sharpened characterization of a radical of an ideal the radical of an ideal I is the intersection of all Goldman ideals containing I . Notes reflist References Citation last1 Kaplansky first1 Irving author1 link Irving Kaplansky title Commutative rings publisher University of Chicago Press edition Revised id MathSciNet id 0345945 isbn 0226424545 year 1974 DEFAULTSORT Goldman Domain Category Ring theory Abstract algebra stub ... more details
Subtribes Clans of Tribe Division of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions ... of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions Dawari Malizad Malakh Muhammad ... Section of Subdivision Minor Fractions Other Fractions Ghilzai Lodi Pashtun tribe Lodi Tokhi Hotak ... Minor Fractions Other Fractions rowspan 4 Jadoon Mansoor Musazai,Dullahzai, Khizerzai Salaar Eisa ... of Subdivision Minor Fractions Other Fractions rowspan 12 Kasi tribe Kasi Akazai Balochistan Arbab ... Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 3 kashmiryan tribe kashmiryan ... of Subdivision Minor Fractions Other Fractions rowspan 3 Luni tribe Luni Rakanwal Malezai Adamzai Badozai ... of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 8 Mohmand Momand ... Tribe Clans of Tribe Division of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions Niazi Isa Khel, Taji Khel, Ballo Khel, Musa Khel, Shahbaz Khel, Daud Khel, Bahi, Mulla ... Subdivsion Section of Subdivision Minor Fractions Other Fractions Oriakhill rowspan 13 Orakzai Dawlatzai ... Division of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 11 Swati ... Minor Fractions Other Fractions rowspan 2 Utman Khel Mandal tribe Mandal Dabar tribe Dabar ... Division of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 10 ... of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 9 Yusufzai ... Tribe Subtribes Clans of Tribe Division of Clans Subdivsion Section of Subdivision Minor Fractions Other Fractions rowspan 2 Zaimukht Khoidad Khel Mamozai Zmarai Zimri tribe Zimri Anzra Khel Alizai ... more details
wiktionary Residue may refer to Residue chemistry , material remaining after a distillation or an evaporation, or portion of a larger molecule In particular, in biology, often refers specifically to an amino acid Residue law , portion of the testator s estate that is not specifically devised to someone in the will Residue complex analysis , complex number describing the behavior of line integrals of a meromorphic function around a singularity Crop residue , materials left after agricultural processes Relationship residue , lingering feelings occurring after the commencement of a relationship often brought about by the unwillingness of one party to let go which can lead to sporadic emotional discharges. Residue may also be The remainder in modular arithmetic The heavier fractions of crude oil that fail to vaporize in an oil refinery disambig fr R sidu io Reziduo nl Residu ru ... more details
TI 15 Explorer is a calculator designed by Texas Instruments , intended for use in classes from grades 3 5. It is the successor to the TI 12 Math Explorer . For younger students, TI recommends the use of the TI 10 . For older students, TI recommends the use of the TI 73 Explorer . Features include a 2 line pixel display as opposed to the 7 segment display of several other calculators , and a quiz like Elementary arithmetic problem solving mode. It also supports limited Scientific calculator scientific capabilities , such as parentheses, fixed decimal, fractions, pi , and exponents. It is recommended by Everyday Mathemathics. CN date February 2012 External links http education.ti.com educationportal sites US productDetail us ti15 explorer.html Features of the TI 15 Explorer TI calc electronics stub Category Texas Instruments calculators ... more details
This disambiguation page had piped links removed by a bot, per WP MOSDAB . If some links do not seem to belong on this page, they may have originally been piped, so please check before removing links. Thanks 1 3 may refer to Fractions March 1 January 3 Third disambiguation odds of 3 to 1 on , i.e. 3 mathematically, but written 1.33 or 300 by some bookmakers pre decimal sterling currency of 1 shilling and 3 pence thruppence 1st Battalion 3rd Marines numberdis es 1 3 vi 1 3 zh 1 3 ... more details
unreferenced date May 2009 One trillionth is the Multiplicative inverse reciprocal of a Trillion disambiguation trillion , which means it has one of two definitions depending on whether the long and short scales long scale or long and short scales short scale numbering system is in use. Short scale countries In most English language English speaking countries, a trillionth is equal to 0.000 000 000 001, or 1 x 10 sup 12 sup in scientific notation . The prefix for a number of this magnitude is pico pronounced peeko , and is abbreviated as lowercase p. Long scale countries In most European countries, a trillionth is equal to 0.000 000 000 000 000 001, or 1 x 10 sup 18 sup in scientific notation . The prefix for a number of this magnitude is atto atto , and is abbreviated as lowercase a. num stub Category Fractions ... more details
One millionth is equal to 0.000 001, or 1 x 10 sup 6 sup in scientific notation . It is the Multiplicative inverse reciprocal of a million , can be also written as 1 1 000 000. Units using this fraction can be indicated using the prefix micro from Greek language Greek , meaning small . Numbers of this quantity are expressed in terms of the Greek letter mu letter mu . It is also the ordinal that comes after the nine hundred, ninety nine thousand, nine hundred, ninety ninth and before the million and first. See also Micro International System of Units International System of Units num stub Category Fractions es Millon simo ... more details
One billionth is the Multiplicative inverse reciprocal of a billion, which means it has one of two definitions depending on whether the long and short scales long scale or long and short scales short scale definition is being used. Short scale countries In most English language English speaking countries, a billionth is equal to 0.000 000 001, or 1 x 10 sup 9 sup in scientific notation . The prefix for this number is Nano nano , and is abbreviated as n for example, in electronics, one nanofarad would be written as 1 nF . Long scale countries In most European countries, a billionth is equal to 0.000 000 000 001, or 1 x 10 sup 12 sup in scientific notation . The prefix for this number is pico , and is abbreviated as p for example, in electronics, one picofarad would be written as 1 pF . num stub Category Fractions ... more details
Vitamin D dependent calcium binding proteins were discovered in the cytosolic fractions of chicken intestine , and later in mammalian intestine and kidney, by workers including Robert Wasserman of Cornell University . They bound calcium in the micromolar range and were greatly reduced in vitamin D deficient animals. Expression could be induced by treating these animals with vitamin D metabolites such as calcitriol . They were found to exist in two distinct sizes with a molecular weight of approximately 9 kDa and 28 kDa. They were renamed calbindin calbindin D9k S100G is found in mammalian intestine and calbindin D28k in avian intestine and in kidney. See also Calcium binding protein External links MeshName Vitamin D Dependent Calcium Binding Protein http www.calciumvitamins.org Calcium Vitamins Calcium binding proteins Category Proteins Category Vitamin D ... more details
Refimprove date November 2008 The word gluteomics describes the systematic study on the T cell stimulatory peptides in celiac disease . These peptides are derived from gluten or gluten like proteins. Usually the term gluteomics is used in the context of global approach to identify, target or detect large sets of the disease related sequences. The scientific methods usually employed by gluteomic studies include novel epitope identification by means of database searching with dedicated algorithms, studies on toxicity of fractions of gluten and or gluten like proteins, degradation of multiple T cell stimulatory sequences with the specific enzymes, and development of protocols for the detection of peptides implicated in the pathogenesis of celiac disease. See also gluteome Category Glutens ... more details
Mate is a non profit online mathematical tool focusing on simple symbolic and Numerical analysis numerical calculations . It provides a small interpreted language interpreted , datatype dynamically typed programming language supporting among other datatypes, matrices, boleans, intervals, sets and fractions. Mate came online in 2005, and is still under development. In comparison to professional math applications like Mathematica , it has very limited functionality. Examples A variable is allocated a value pre a 3 pre pre b 2 a pre A function is defined pre f x 2 x 2 pre A vector is defined pre t 1, 2, 3, 4, 5, 6 pre pre y f t pre A graph is plotted pre plot t,y pre External links http www.tusanga.com The Mate tool webpage at Tusanga Category Mathematical tools ... more details
The HOBET Health profession Health Occupations Basic Entrance Test and NET Nurse s Entrance Test are entrance exams used in the United States to determine if a person can enter a program to become a health occupation worker. The exams tests cover the following Basic Algebra Advanced Algebra Fractions Basic Math Intermediate Math Advanced Math Percent s and Ratios Basic Reading Comprehension Reading for the Main Idea Advanced Reading Comprehension Test Taking Skills Stress Levels Social Interaction Profile Learning Styles Composite Scores Most schools require a 56. External links http www.thehobetexplained.com The HOBET Explained Category Nursing in the United States ... more details
In the complex analysis analytic theory of generalized continued fraction continued fractions , a chain sequence is an infinite sequence a sub n sub of non negative real numbers chained together with another sequence g sub n sub of non negative real numbers by the equations math a 1 1 g 0 g 1 quad a 2 1 g 1 g 2 quad a n 1 g n 1 g n math where either a 0 &le g sub n sub 1, or b 0 g sub n sub &le 1. Chain sequences arise in the study of the convergence problem &ndash both in connection with the parabola theorem , and also as part of the theory of quadratic form positive definite continued fractions. The infinite continued fraction of convergence problem Worpitzky s theorem Worpitzky s theorem contains a chain sequence. A closely related theorem ref Hubert Stanley Wall Wall traces this result back to Oskar Perron Wall, 1948, p. 48 . ref shows that math f z cfrac a 1z 1 cfrac a 2z 1 cfrac a 3z 1 cfrac a 4z ddots , math converges uniformly on the closed unit disk z &le 1 if the coefficients a sub n sub are a chain sequence. An example The sequence , , , ... appears as a limiting case in the statement of Worpitzky s theorem. Since this sequence is generated by setting g sub 0 sub g sub 1 sub g sub 2 sub ... , it is clearly a chain sequence. This sequence has two important properties. Since f x x &minus x sup 2 sup is a maximum when x , this example is the biggest chain sequence that can be generated with a single generating element or, more precisely, if g sub n sub x , and x , the resulting sequence a sub n sub will be an endless repetition of a real number y that is less than . The choice g sub n sub ... of Continued Fractions , D. Van Nostrand Company, Inc., 1948 reprinted by Chelsea Publishing Company, 1973 , ISBN 0 8284 0207 8 Category Continued fractions ... more details
A cell free system is an in vitro tool widely used to study biological reactions that happen within Cell biology cells while reducing the complex interactions found in a whole cell. Subcellular fractions can be isolated by ultracentrifugation to provide molecular machinery that can be used in reactions in the absence of many of the other cellular components. External links http www.nlm.nih.gov cgi mesh 2007 MB cgi?mode &term Cell Free System&field entry MeSH Descriptor Data molecular cell biology stub Category Cell biology ar ru uk ... more details
Green coke raw coke is the primary solid carbonization product from high boiling hydrocarbon fractions obtained at temperatures below 900 K. It contains a fraction of matter that can be released as volatiles during subsequent heat treatment at temperatures up to approximately 1600 K. This mass fraction, the so called volatile matter, is in the case of green coke between 4 and 15 wt. , but it depends also on the heating rate. Raw coke is an equivalent term to green coke although it is now less frequently used. The so called volatile matter of green coke depends on temperature and time of cooking, but also on the method for its determination. See also Coker unit Delayed coker Petroleum coke Coke fuel References IUPAC Compendium of Chemical Terminology 2nd Edition 1997 Category Coal chemistry stub energy stub ... more details
The Old Independence Party was an Iceland ic political party. The Old Independence Party langsum and the Old Independence Party versum denote two fractions that split the party at one time. The party dissolved in 1927 and its members mostly divided between the Conservative Party Iceland Conservative Party and the Liberal Party Iceland, historical Liberal Party . However, in 1929, the Conservative Party and Liberal Party merged. The new party was named the Independence Party Iceland Independence Party , which purposefully evoked the name of the defunct Old Independence Party. Category Defunct political parties in Iceland Iceland party stub ... more details
Image San Martin de Tor Lungiar .jpg thumb right Lungiar Lungiar lang de Campill , lang it Longiar is a village which forms a frazione of the commune of San Martin de Tor in South Tyrol , northern Italy . It is located in the Val Badia at an altitude of 1,398 metres. coord 46 38 28 N 11 51 46 E region IT BZ type city source kolossus dewiki display title Category Fractions of South Tyrol Category Former municipalities of South Tyrol TrentinoAltoAdige geo stub de Campill it Longiar ... more details
unref date July 2010 grading In Hungary , a 5 point grade system is used. There are only whole numbers in report cards, but for grading exams, there are also fractions such as 3 4, which is between 3 and 4 . Some teachers use lines above rarely or under more commonly the numbers to draw a clearer distinction e.g., 4, 4 is worse than a 4 but better than a 3, a 3 3 plus , or a 3 4 3 3 3 4 4, 4 sometimes they even use multiple lines, such as 5,,. For unusually good performance, the grade 5 can be awarded, but is less frequently used in secondary schools. 1 is the only failing grade. When grading a student s attitude or diligence, only the grades 2 5 are used. Europe topic Academic grading in Category Academic grading by country Hungary Category Education in Hungary Grading ... more details
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